Say that the matrix $A$ is positive definite and the matrices $X$ and $Y$ are not necessarily PD or PSD or even symmetric. Under what conditions the matrix $X^TAY+Y^TAX$ is PD, PSD, and neither? All matrices here are square.
2026-03-31 07:09:47.1774940987
The status of the matrix $X^TAY+Y^TAX$ if the matrix $A$ is positive definite
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